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Finding the Fourth Proportional to 1,073.81, 1,611.07 and 457.25

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Solution

The fourth proportional to 1,073.81, 1,611.07 and 457.25 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.81 : 1,611.07 = 457.25 : x
  2. Step 2: Convert to fraction form
    1,073.81/1,611.07 = 457.25/x
  3. Step 3: Cross multiply
    1,073.81x = 1,611.07 × 457.25
  4. Step 4: Simplify right side
    1,073.81x = 736,652.56
  5. Step 5: Solve for x
    x = 736,652.56/1,073.81
  6. Step 6: Final answer
    x = 686.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.